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Finding the Fourth Proportional to 415,195.20, 622,760.40 and 162,426.60

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Solution

The fourth proportional to 415,195.20, 622,760.40 and 162,426.60 is: 243,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,195.20 : 622,760.40 = 162,426.60 : x
  2. Step 2: Convert to fraction form
    415,195.20/622,760.40 = 162,426.60/x
  3. Step 3: Cross multiply
    415,195.20x = 622,760.40 × 162,426.60
  4. Step 4: Simplify right side
    415,195.20x = 101,152,854,386.64
  5. Step 5: Solve for x
    x = 101,152,854,386.64/415,195.20
  6. Step 6: Final answer
    x = 243,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.